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190516040 = 2351113191753
BaseRepresentation
bin10110101101100…
…00101101001000
3111021111012212122
423112300231020
5342233003130
630523230412
74502234231
oct1326605510
9437435778
10190516040
11985a5580
1253978408
13306165b0
141b434088
1511ad42e5
hexb5b0b48

190516040 has 128 divisors (see below), whose sum is σ = 530409600. Its totient is φ = 60549120.

The previous prime is 190516031. The next prime is 190516121. The reversal of 190516040 is 40615091.

It is a super-2 number, since 2×1905160402 = 72592722994563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107804 + ... + 109556.

It is an arithmetic number, because the mean of its divisors is an integer number (4143825).

Almost surely, 2190516040 is an apocalyptic number.

190516040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190516040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265204800).

190516040 is an abundant number, since it is smaller than the sum of its proper divisors (339893560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

190516040 is a wasteful number, since it uses less digits than its factorization.

190516040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 190516040 is about 13802.7547975033. The cubic root of 190516040 is about 575.4097042238.

The spelling of 190516040 in words is "one hundred ninety million, five hundred sixteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 19 20 22 26 38 40 44 52 55 65 76 88 95 104 110 130 143 152 190 209 220 247 260 286 380 418 440 494 520 572 715 760 836 988 1045 1144 1235 1430 1672 1753 1976 2090 2470 2717 2860 3506 4180 4940 5434 5720 7012 8360 8765 9880 10868 13585 14024 17530 19283 21736 22789 27170 33307 35060 38566 45578 54340 66614 70120 77132 91156 96415 108680 113945 133228 154264 166535 182312 192830 227890 250679 266456 333070 366377 385660 432991 455780 501358 666140 732754 771320 865982 911560 1002716 1253395 1332280 1465508 1731964 1831885 2005432 2164955 2506790 2931016 3463928 3663770 4329910 4762901 5013580 7327540 8659820 9525802 10027160 14655080 17319640 19051604 23814505 38103208 47629010 95258020 190516040